See BP1061 for a version of this with only squares and which allows infinite nesting.

See BP71 for a Problem about counting levels of nesting.

Adjacent-numbered pages:
BP1017 BP1018 BP1019 BP1020 BP1021  *  BP1023 BP1024 BP1025 BP1026 BP1027

easy, nice, precise, allsorted, traditional

varied_thickness_curves_drawing [smaller | same | bigger]

Aaron David Fairbanks

Adjacent-numbered pages:
BP1014 BP1015 BP1016 BP1017 BP1018  *  BP1020 BP1021 BP1022 BP1023 BP1024

nice, precise, traditional

circles_cross [smaller | same | bigger]

Aaron David Fairbanks

Henneberg, L. (1911), Die graphische Statik der starren Systeme, Leipzig

Jackson, Bill. (2007). Notes on the Rigidity of Graphs.

Laman, Gerard. (1970), "On graphs and the rigidity of plane skeletal structures", J. Engineering Mathematics, 4 (4): 331–340.

Pollaczek‐Geiringer, Hilda (1927), "Über die Gliederung ebener Fachwerke", Zeitschrift für Angewandte Mathematik und Mechanik, 7 (1): 58–72.

Adjacent-numbered pages:
BP1011 BP1012 BP1013 BP1014 BP1015  *  BP1017 BP1018 BP1019 BP1020 BP1021

nice, physics, help

planar_connected_graph [smaller | same | bigger]
zoom in left (rigid_planar_connected_graph)

Aaron David Fairbanks

This is a typical kind of joke answer people give for Bongard Problems when they cannot find an answer.

Adjacent-numbered pages:
BP1003 BP1004 BP1005 BP1006 BP1007  *  BP1009 BP1010 BP1011 BP1012 BP1013

dual, arbitrary, handed, leftright, updown, boundingbox, blackwhite, antihuman, right-null, perfect, pixelperfect, help, experimental, funny, absoluteposition, bordercontent

Aaron David Fairbanks

This is a version of BP1003 with only numbers.

Contrast BP1005, which is very similar.

Adjacent-numbered pages:
BP1001 BP1002 BP1003 BP1004 BP1005  *  BP1007 BP1008 BP1009 BP1010 BP1011

nice, hardsort, left-narrow, rules

[smaller | same | bigger]
zoom in left | zoom in right

Leo Crabbe, Aaron David Fairbanks

This is a version of BP999 with only numbers.

Contrast BP1006, which is very similar.

Adjacent-numbered pages:
BP1000 BP1001 BP1002 BP1003 BP1004  *  BP1006 BP1007 BP1008 BP1009 BP1010

nice, notso, hardsort, left-narrow, rules

[smaller | same | bigger]
zoom in left | zoom in right

Aaron David Fairbanks

The "whole" is the entire panel including the bounding box. A "part" is some region either stylistically different or amply separated in space from everything else. Smaller parts-within-parts don't count as parts.

Rhetorical question: Where would the collection of left examples of this Bongard Problem be sorted by this Bongard Problem? (The question is whether these examples considered together satisfy the pattern that all the parts do, namely that the whole satisfies the pattern that all the parts do.)

See BP793 and BP999 for similar paradoxes.

See BP1006 for the version about numerical properties where each part is a cluster of dots; examples in that BP would be sorted the same way here that they are there.

See BP999 and BP1003 for versions where each object is itself a collection of objects, so that the focus is on rules specifically pertaining to collections (e.g. "all the objects are different").

See BP1002 for a Bongard Problem about only visual self-similarity instead of conceptual self-similarity.

The rule shown in each panel is "narrow" (see BP513^left and BP514^left).

Adjacent-numbered pages:
BP999 BP1000 BP1001 BP1002 BP1003  *  BP1005 BP1006 BP1007 BP1008 BP1009

nice, abstract, anticomputer, creativeexamples, left-narrow, rules, miniworlds

Aaron David Fairbanks

Since it is most intuitive to imagine spatially squishing together all the collections in the process of combining them into one big collection, avoid rules that involve relative spatial positionings of objects.

Contrast BP999, which is very similar. There, when considering the whole picture, the collections are to be treated as individual objects; here, when considering the whole picture, the collections are to be combined into one big collection. A picture showing (for example) an odd number of even-numbered groups would be sorted differently by these two BPs.

Also contrast BP1004, which is about a collection of plain objects obeying the same rule as all the objects (instead of a collection of [collections of objects] obeying the same rule as all the [collections of objects]).

See BP1006 for the version with only number-based properties. All panels in that Bongard Problem fit the same way in this Bongard Problem as well.

Adjacent-numbered pages:
BP998 BP999 BP1000 BP1001 BP1002  *  BP1004 BP1005 BP1006 BP1007 BP1008

nice, abstract, notso, creativeexamples, rules, miniworlds

[smaller | same | bigger]

Leo Crabbe, Aaron David Fairbanks

See BP1004 for a Problem about conceptual self-similarity instead of visual self-similarity.

See BP188 for a similar Problem restricted to shape outlines made of shape outlines.

Adjacent-numbered pages:
BP997 BP998 BP999 BP1000 BP1001  *  BP1003 BP1004 BP1005 BP1006 BP1007

easy, nice, fuzzy, abstract, anticomputer, concept, traditional

Aaron David Fairbanks

An image of this Bongard Problem fits on the left side.

See BP867 for a similar BP that sorts links to pages on the OEBP instead of images of Bongard Problems.

Adjacent-numbered pages:
BP996 BP997 BP998 BP999 BP1000  *  BP1002 BP1003 BP1004 BP1005 BP1006

stub, notso, meta (see left/right), miniproblems, funny

Aaron David Fairbanks